If the toilet were a Baby Blake or Blakes Victory, I suspect the thought of leaving it behind would disturb you even more.
Why are you assuming that the PHII is stroke is only 2.5" and comparing that to an assumed 4.5" stroke for the Jabsco? 2.5" stroke for both was for illustration purpose only...to provide an "apples to apples" comparison that doesn't require advanced math to arrive at the relative amounts of water the pumps can move.
Additionally, stale urine is perhaps the most destructive chemical most heads ever see; better to get it to the tank.
You're ignoring the fact that ANY manual toilet--even a Jabsco--that's working anywhere close to factory spec can move bowl contents up to 6' in the dry mode...solving that problem without filling up the tank with water. Only a pint is needed then to rinse out the hose.
I'd love to stay and debate, but then I wouldn't still be retired.
So happy spring and don't forget to flush out all the critters that set up housekeeping in your vent lines and replace your joker valves (find the article "joker valve 101 to learn why it's so important to do that annually) as part of you spring recommissioning.
Not debate, just questions.
Regarding the volume, the makers don't state the flush-per-stroke (strokes-per-foot of hose) volume and I suggested why
it would be a nice number for the owner to know. It would be nice to know both specifications. I measured the Jabsco stoke years ago and I'm fairly certain it was between 4 1/2 and 5". I'll get out the tape. I just assumed you knew; you stated the diameter, clearly, diameter without stroke means nothing, and yet for the purposes of example calculation the two strokes were arbitrarily set as equal.
Obviously, all the pumps can clear a hose. Pumping that much water is not needed, though we will agree that at least 10 strokes are likely required; I assumed the reader would guess some were wet and some were dry, as that is what the instructions state. Nothing to debate.
I can also safely surmise, after looking at dozens of failed joker valves and also exposing them in laboratory conditions to many chemicals, that extended exposure to urine is by far the common thread. It seems stale urine is FAR more aggressive than the younger product. While I'm sure you already know this, I thought it was worth repeating, for the readers. Nitrile (the elastomer used in Groco and Rairatan heads) doesn't like stale urine; it gets stiff and loses resilience, eventually gapping open. Time is also required to generate scale. I'm betting that if you performed an exposure time vs. scale study we would find that adequate flushing would greatly reduce the need to acid washing.
And even with a Baby Blake or Blakes Victory, that's creepy

. Maybe.